Construction of cyclic codes over GF (4) for DNA computing

T Abualrub, A Ghrayeb, XN Zeng - Journal of the Franklin Institute, 2006 - Elsevier
In this paper, we develop the theory for constructing linear and additive cyclic codes of odd
length over GF (4) that are suitable for DNA computing. We call this class of codes reversible …

Codes, involutions, and DNA encodings

L Kari, R Kitto, G Thierrin - … and Natural Computing: Essays Dedicated to …, 2002 - Springer
DNA computing as a field started in 1994 when Leonard Adleman solved a hard
computational problem entirely by manipulations of DNA molecules in a test tube [1]. The …

[PDF][PDF] A new operation on words suggested by DNA biochemistry: Hairpin completion

D Cheptea, C Martın-Vide, V Mitrana - ii Transgressive Computing, 2006 - orcca.on.ca
In this paper we propose a new formal operation on words and languages suggested by
DNA manipulation, called hairpin completion. By this operation, based on a Watson-Crick …

Coding properties of DNA languages

S Hussini, L Kari, S Konstantinidis - Theoretical Computer Science, 2003 - Elsevier
The computation language of a DNA-based system consists of all the words (DNA strands)
that can appear in any computation step of the system. In this work we define properties of …

Sticky-free and overhang-free DNA languages

L Kari, S Konstantinidis, E Losseva, G Wozniak - Acta Informatica, 2003 - Springer
An essential step of any DNA computation is encoding the input data on single or double
DNA strands. Due to the biochemical properties of DNA, complementary single strands can …

[HTML][HTML] On some algorithmic problems regarding the hairpin completion

F Manea, C Martín-Vide, V Mitrana - Discrete Applied Mathematics, 2009 - Elsevier
We consider a few algorithmic problems regarding the hairpin completion. The first problem
we consider is the membership problem of the hairpin and iterated hairpin completion of a …

Two complementary operations inspired by the DNA hairpin formation: Completion and reduction

F Manea, V Mitrana, T Yokomori - Theoretical Computer Science, 2009 - Elsevier
We consider two complementary operations: Hairpin completion introduced in [D. Cheptea,
C. Martin-Vide, V. Mitrana, A new operation on words suggested by DNA biochemistry …

On iterated hairpin completion

S Kopecki - Theoretical Computer Science, 2011 - Elsevier
Abstract (Bounded) hairpin completion and its iterated versions are operations on formal
languages which have been inspired by hairpin formation in DNA biochemistry. The paper …

Hairpin completion versus hairpin reduction

F Manea, V Mitrana - Computation and Logic in the Real World: Third …, 2007 - Springer
We define the hairpin reduction as the inverse operation of a formal operation on words and
languages suggested by DNA biochemistry, namely the hairpin completion, introduced in …

Superposition based on Watson–Crick-like complementarity

P Bottoni, A Labella, V Manca, V Mitrana - Theory of Computing Systems, 2006 - Springer
In this paper we propose a new formal operation on words and languages, called
superposition. By this operation, based on a Watson–Crick-like complementarity, we can …